こんにちは。 ぼく は にほんご を べんきょう しています。You have to either type NN or N' to complete a ん before a vowel. べんきょう する is a する verb, which takes its object with を and shouldn't be followed by です. The wa topic particle is always spelled は.

ゆうしょく ち ちょちょくわ おいし です

I have no idea what the part in the middle was supposed to be. Leaving that out, it would be ゆうしょく が おいしい です in present tense, or ゆうしょく が おいしかった です in past tense.

あなたわ あめりか人 ですか？？

あなた は アメリカ人 です か。Again, the topic particle is は, not わ. アメリカ should be in katakana, not hiragana, but you may not have learned that yet. There's no need for question marks after the か particle.

しかし私は下手に書き、話しています。Use "ni" to put -na adjectives into adverbial form, and don't use "to" to link verbs. Changing the first verb into the -masu stem version is one way to do it, and I think approprate here.

ここがれんしゅうる

ここでれんしゅうしています。Use "de" to indicate location of action, and add a form of "suru" (not juxt "ru" to "renshuu" to make it a verb.

Theshadowtaker-san, like you, I also don't have the basics of Japanese down well. But, I'm sure our Japanese will get better in the near future!
Anyway, let's have a quiz! Most of the questions, I took straight out from one of my Japanese books.

Everyone, here goes!
1. Which member of your family is always laughing?
2. A can's a can, but what kind of can can you eat?
3. A tree's a tree, but what kind of tree do you not want to become?
4. A bread's a bread but what kind of bread can you wear?

I'll give the answer to the first question...It's 'haha'=mother
Good luck!:)

「はは」 is a 家族？！？！
a mother is not a family alone...
ははだけで家族になりませんね。
As for the tree one, 人"気"？ Cuz than everyone will want their house made out of it, and the "ninKI" tree will be cutt down
人気、かね。やっぱりね、木は人気になっちゃったら、みんな自分の家はその木で作りたくなるんですね。笑

richvh-san, your answers are all correct. Congrats!
gaijinian-san, the 3rd answer is byouki. At first, the question does seem to be referring to a tree, but that's just a trick to get us confuse. Who wants to be sick? Nobody, right?
Well, anyway, there are more to come. It will be more difficult this time.

1. The moon's the moon, but what kind of moon is hated by everybody?
2. Up to what number can the dog count?
3. Which town in Europe do pigs not want to go to?
4. What's the name of the god in the toilet?
5. Which hobby is the noblest of them all?